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中国物理 B 2012
Solving coupled nonlinear Schr dinger equations via a direct discontinuous Galerkin method
Keywords: direct discontinuous Galerkin method,coupled nonlinear Schr ,dinger equation,mass conservation Abstract: In this work, we present the direct discontinuous Galerkin (DDG) method for the one-dimensional coupled nonlinear Schr dinger (CNLS) equation. We prove that the new discontinuous Galerkin method preserves the discrete mass conservations corresponding to the properties of the CNLS system. The ordinary differential equations obtained by the DDG space discretization is solved via a third-order stabilized Runge-Kutta method. Numerical experiments show that the new DDG scheme gives stable and less diffusive results and has excellent long-time numerical behaviors for the CNLS equations.
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